Hi again! If the measure of angle A is 155 degrees, then the measure of angle C is also 155 degrees because vertical angles are congruent. Vertical angles are the two angles created when two lines intersect that are NOT linear.
Ok so it's a proportion so this fraction is to this fraction. the smaller rectangle has sides 4 and 12. the larger one has 8 and x. so u set it up 4/12=8/x. the 4 and 8 r both the short sides so u want those on top and 12 and x r long sides so those on bottom. since that is not an answer option u can set it up as 8/4=x/12 because u still keep the variables of the same rectangle from being multipled with each other. so answer #2 is correct
It the answer would be 51.41
∠B + ∠B` = 180°
The Sine Law:
10 / sin B` = 9.2 / sin 60°
10 / sin B` = 9.2 / √3/2
sin B` = 0.94133
B` = sin^(-1) 0.94133
Answer:
C ) ∠B` = 109.73°, ∠B = 70.27°
....I am not sure if this is an answerable question XD
